First, the coordinate of M about the axis symmetry point of Y is (-4, 5, -6), the Y coordinate remains unchanged, and the X and Z coordinates become opposites. Secondly, projection on the xOz plane means projection, so this coordinate is on the xOz plane, so y=0 and the coordinate is (-4,0,6).

Draw two axes that are perpendicular to each other and have a common origin on the plane. Where the horizontal axis is the X axis and the vertical axis is the Y axis. In this way, we say that the plane rectangular coordinate system is established on the plane, which is called rectangular coordinate system for short. It is also divided into the first quadrant, the second quadrant, the third quadrant and the fourth quadrant. Count from the upper right corner and count counterclockwise.

Cartesian coordinates/Cartesian coordinates

Draw two mutually perpendicular number axes on the plane, and their origins coincide to form a rectangular coordinate system. The horizontal axis is called the X axis or the horizontal axis.

Habitually take the right as the positive direction; The vertical axis is the Y axis or the vertical axis, and the orientation direction is the positive direction; The intersection of the two coordinate axes is the origin of the plane rectangular coordinate system.